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Finding the Third Proportional to 78,522,071 and 119,908,869

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Solution

The third proportional to 78,522,071 and 119,908,869 is: 183,109,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,522,071 : 119,908,869 = 119,908,869 : x
  2. Step 2: Convert to fraction form
    78,522,071/119,908,869 = 119,908,869/x
  3. Step 3: Cross multiply
    78,522,071x = 119,908,869 × 119,908,869
  4. Step 4: Simplify right side
    78,522,071x = 14,378,136,864,859,160
  5. Step 5: Solve for x
    x = 14,378,136,864,859,160/78,522,071
  6. Step 6: Final answer
    x = 183,109,496.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.